Function Families/Piecewise

Match each graph to the function type it represents

• Cubic

• 
• Absolute Value

• 
• Exponential

• 
• Linear

• 
• Quadratic

• 

Match each graph to the function type it represents

• Linear

• 
• Absolute Value

• 
• Square Root

• 
• Exponential

• 
• Quadratic

• 

Match each equation to the function type it represents

Linear ​ (a)   Absolute Value ​ (b)  

Quadratic ​ (c)   Cubic ​ (d)  

Exponential ​ (e)  

Match each equation to the function type it represents

Linear ​ (a)   Absolute Value ​ (b)  

Quadratic ​ (c)   Square Root​ (d)  

Exponential​ (e)  

Function Type: ​ (a)   ​

X-intercept: ​ ​ (b)  

Y-intercept: ​ (c)  

Increasing or Decreasing?

The function is ​ (d)  

• linear
• (-3,0)
• (0,-2)
• decreasing
• exponential
• absolute value
• (0,-3)
• (-2,0)
• increasing

Function type: ​ (a)  

X-intercepts: ​ (b)  

Y-intercept: ​ (c)  

Increasing Interval: ​ (d)  

• absolute value
• (-7,0) and (3,0)
• (0,-3)
• linear
• quadratic
• (0,-7) and (0,3)
• (7,0) and (3,0)
• (-3,0)

Function Type: ​ (a)  

X-intercepts: ​ (b)  

The y-intercept is (pos or neg?) ​ (c)  

Increasing interval ​ (d)  

• quadratic
• (2,0) and (4,0)
• negative
• absolute value
• cubic
• (0,2) and (0,4)
• positive

Function Type: ​ (a)  

Y-intercept: ​ (b)  

Exponential growth or decay?

​ (c)  

• exponential
• (0,4)
• exponential decay
• linear
• square root
• (4,0)
• exponential growth

  The blue graph is the parent function f(x)=|x|, so the red must be...

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

• up
• flipped
• stretched
• compressed (shrink)
• down
• right
• left